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18 Nov 2019
Help!! Given f (x) = sin 3x a) Find the first four non-zero terms of the Maclaurin series of the function. b) Write the power series using summation notation. c) Determine the interval of convergence of the series. Given f (x) = e^x a) Find the first four non-zero terms of the Taylor series of the function centered at a = ln2. b) write the power series using summation notation. Evaluate the following limits using Taylor series. a) lim_x rightarrow 0 3 tan^-1 x - 3x + x^3/x^5 b) lim_x rightarrow 0 2cos 2x - 2 + 4x^2/2x^4 Given f(x) = e^-2x a) Differentiate the Taylor series about o for the function. b) Identify the function represented by the differentiated series. c) Give the interval of convergence of the power series for the derivative. Use a Taylor series to approximate integral^0.35_0 tan^-1 xdx with the error is less than 10^-4. Identify the function represented by the following power series. a) sigma^infinity_k=0 (-1)^k x^k/3^k b) sigma^infinity_k=1 (-1)^k kx^k +
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Given f (x) = sin 3x a) Find the first four non-zero terms of the Maclaurin series of the function. b) Write the power series using summation notation. c) Determine the interval of convergence of the series. Given f (x) = e^x a) Find the first four non-zero terms of the Taylor series of the function centered at a = ln2. b) write the power series using summation notation. Evaluate the following limits using Taylor series. a) lim_x rightarrow 0 3 tan^-1 x - 3x + x^3/x^5 b) lim_x rightarrow 0 2cos 2x - 2 + 4x^2/2x^4 Given f(x) = e^-2x a) Differentiate the Taylor series about o for the function. b) Identify the function represented by the differentiated series. c) Give the interval of convergence of the power series for the derivative. Use a Taylor series to approximate integral^0.35_0 tan^-1 xdx with the error is less than 10^-4. Identify the function represented by the following power series. a) sigma^infinity_k=0 (-1)^k x^k/3^k b) sigma^infinity_k=1 (-1)^k kx^k +
punithg05Lv10
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30 May 2023
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Jean KeelingLv2
5 May 2019
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